A self-adaptive iterative algorithm for the split common fixed point problems

被引：22

作者：

Zhao, Jing ^{[1
]}

Hou, Dingfang ^{[1
]}

机构：

[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2019年 / 82卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Split common fixed-point problem; Iterative algorithm; Dual variable; Averaged mapping; Weak convergence; Hilbert space; CONVEX FEASIBILITY; CQ-ALGORITHM; NONEXPANSIVE-MAPPINGS; MANN ALGORITHM; PROJECTION; CONVERGENCE;

D O I：

10.1007/s11075-018-0640-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the dual variable to propose a self-adaptive iterative algorithm for solving the split common fixed point problems of averaged mappings in real Hilbert spaces. Under suitable conditions, we get the weak convergence of the proposed algorithm and give applications in the split feasibility problem and the split equality problem. Some numerical experiments are given to illustrate the efficiency of the proposed iterative algorithm. Our results improve and extend the corresponding results announced by many others.

引用

页码：1047 / 1063

页数：17

共 50 条

[31] PARALLEL ITERATIVE ALGORITHM FOR SOLVING THE MULTIPLE-SET SPLIT COMMON FIXED-POINT PROBLEM [J].

Zhao, Jing ;

Hou, Dingfang ;

Zong, Haili .

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (11) :2007-2019

[32] A new self-adaptive method for the split equality common fixed-point problem of quasi-nonexpansive mappings [J].

Zhao, Jing ;

Hou, Dingfang ;

Wang, Xinglong .

OPTIMIZATION, 2021, 70 (04) :805-826

[33] An inertial method for solving split common fixed point problems [J].

Duong Viet Thong ;

Dang Van Hieu .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) :3029-3051

[34] IMPLICIT AND EXPLICIT ALGORITHMS FOR SPLIT COMMON FIXED POINT PROBLEMS [J].

Ansari, Qamrul Hasan ;

Rehan, Aisha ;

Wen, Ching-Feng .

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (07) :1381-1397

[35] Convergence of self-adaptive Tseng-type algorithms for split variational inequalities and fixed point problems [J].

Yao, Yonghong ;

Shahzad, Naseer ;

Postolache, Mihai ;

Yao, Jen-Chih .

CARPATHIAN JOURNAL OF MATHEMATICS, 2024, 40 (03) :753-768

[36] Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces [J].

Ogwo, Grace N. ;

Alakoya, Timilehin O. ;

Mewomo, Oluwatosin T. .

DEMONSTRATIO MATHEMATICA, 2022, 55 (01) :193-216

[37] Generalized self-adaptive algorithm for solving split common fixed point problem and its application to image restoration problem [J].

Suparatulatorn, Raweerote ;

Khemphet, Anchalee ;

Charoensawan, Phakdi ;

Suantai, Suthep ;

Phudolsitthiphat, Narawadee .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (07) :1431-1443

[38] A new self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in Hilbert spaces [J].

Simeon Reich ;

Truong Minh Tuyen ;

Nguyen Thi Thu Thuy ;

Mai Thi Ngoc Ha .

Numerical Algorithms, 2022, 89 :1031-1047

[39] A new self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in Hilbert spaces [J].

Reich, Simeon ;

Truong Minh Tuyen ;

Nguyen Thi Thu Thuy ;

Mai Thi Ngoc Ha .

NUMERICAL ALGORITHMS, 2022, 89 (03) :1031-1047

[40] An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces [J].

Shehu, Y. ;

Iyiola, O. S. ;

Enyi, C. D. .

NUMERICAL ALGORITHMS, 2016, 72 (04) :835-864

← 1 2 3 4 5 →